They do. Mathematics is logic, debating is showing is exercising logic...
Do you mean logic by syllogism ?
In that case... They should, and they don't because it's too complicated for the basic student.
Can you count in Hexadecimal (you see clearly my obsession )?
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"Le bonheur est un idéal de l'imagination et non de la raison" - Emmanuel Kant
"L'homme est né naturellement bon, c'est la société qui le corrompt" - Jean Jacques Rousseau